894953840400 has 135 divisors (see below), whose sum is σ = 3105935414101. Its totient is φ = 238639221120.

The previous prime is 894953840393. The next prime is 894953840423. The reversal of 894953840400 is 4048359498.

The square root of 894953840400 is 946020.

It is a perfect power (a square), and thus also a powerful number.

894953840400 is a `hidden beast` number, since 89 + 4 + 95 + 38 + 40 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 322183382544 + 572770457856 = 567612^2 + 756816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56753317 + ... + 56769083.

Almost surely, 2^894953840400 is an apocalyptic number.

894953840400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

894953840400 is the 946020-th square number.

It is an amenable number.

894953840400 is an abundant number, since it is smaller than the sum of its proper divisors (2210981573701).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

894953840400 is an equidigital number, since it uses as much as digits as its factorization.

894953840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31558 (or 15777 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 894953840400 in words is "eight hundred ninety-four billion, nine hundred fifty-three million, eight hundred forty thousand, four hundred".